The number 16900

Q: Is 16900 a prime number?

No. 16900 = 2^2 × 5^2 × 13^2, so it is divisible by 2.

16900 is a perfect square (130²). Its prime factorisation is $2^{2}$ × $5^{2}$ × $13^{2}$ . Divisors (27): 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260 … 16900.

Number

Pick any whole number from 1 to 100,000.

16900 = 2^{2} \times 5^{2} \times 13^{2}

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How to work it out

1
What is special about 16900: a perfect square (130²).
2
16900 is composite. Its prime factorisation is
$16900 = 2^{2} \times 5^{2} \times 13^{2}$
3
The divisors add up to 39711; without 16900 itself that is 22811, so 16900 is abundant (22811 is more than 16900). Euler's totient φ(16900) = 6240 numbers up to 16900 share no factor with it.
4
The digits of 16900 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page

\[ 16900 = 2^{2} \times 5^{2} \times 13^{2} \]

16900 at a glance

Property	Value
Type	composite
Number of divisors	27
Sum of divisors	39711
Euler totient φ(n)	6240
Square	285610000
Cube	4826809000000
Square root	130
Digit sum / digital root	16 / 7
Collatz steps to 1	58
Scientific notation	1.69 × $10^{4}$
Perfect power	$130^{2}$

16900 in other forms

Form	Value
In words	sixteen thousand nine hundred
Binary (base 2)	100001000000100
Octal (base 8)	41004
Hexadecimal (base 16)	4204
Base 3	212011221
As time	16900 seconds = 4 h 41 min 40 s

Is 16900 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (16900 ÷ 2 = 8450)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (16900 ÷ 4 = 4225)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (16900 ÷ 5 = 3380)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (16900 ÷ 10 = 1690)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16900 a prime number?

No. 16900 = $2^{2}$ × $5^{2}$ × $13^{2}$ , so it is divisible by 2.

What are the factors of 16900?

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900.

What is 16900 in binary?

100001000000100 (hexadecimal 4204, octal 41004).

What is the square root of 16900?

130, because 130 × 130 = 16900.

Is 16900 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 16900?

16900 is a perfect square (130²).